{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 0.Import Packages"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import tensorflow as tf\n",
    "import keras\n",
    "import os\n",
    "import glob\n",
    "import seaborn as sns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Load Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "['B05_discharge_soh.csv', 'B07_discharge_soh.csv', 'B18_discharge_soh.csv', 'B33_discharge_soh.csv', 'B34_discharge_soh.csv', 'B46_discharge_soh.csv', 'B47_discharge_soh.csv', 'B48_discharge_soh.csv']\n",
      "The number of dataset : 8\n"
     ]
    }
   ],
   "source": [
    "dir = 'dataset'\n",
    "listdir = os.listdir(dir)\n",
    "\n",
    "print(listdir)\n",
    "print(\"The number of dataset :\", len(listdir))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "num = ['B05', 'B07', 'B18', 'B33', 'B34', 'B46', 'B47', 'B48']\n",
    "for i in range(len(listdir)):\n",
    "    vector = np.zeros((1,3))\n",
    "    path = os.path.join(os.getcwd(), 'dataset/', num[i] + '_discharge_soh.csv')\n",
    "    csv = pd.read_csv(path)\n",
    "    df = pd.DataFrame(csv)\n",
    "    \n",
    "    vec = df[['cycle', 'capacity', 'SOH']]\n",
    "    \n",
    "    globals()['data_{}'.format(num[i])] = vec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>terminal_voltage</th>\n",
       "      <th>terminal_current</th>\n",
       "      <th>temperature</th>\n",
       "      <th>charge_current</th>\n",
       "      <th>charge_voltage</th>\n",
       "      <th>time</th>\n",
       "      <th>capacity</th>\n",
       "      <th>cycle</th>\n",
       "      <th>SOH</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>4.191492</td>\n",
       "      <td>-0.004902</td>\n",
       "      <td>24.330034</td>\n",
       "      <td>-0.0006</td>\n",
       "      <td>0.000</td>\n",
       "      <td>0.000</td>\n",
       "      <td>1.856487</td>\n",
       "      <td>1</td>\n",
       "      <td>0.928244</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>4.190749</td>\n",
       "      <td>-0.001478</td>\n",
       "      <td>24.325993</td>\n",
       "      <td>-0.0006</td>\n",
       "      <td>4.206</td>\n",
       "      <td>16.781</td>\n",
       "      <td>1.856487</td>\n",
       "      <td>1</td>\n",
       "      <td>0.928244</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3.974871</td>\n",
       "      <td>-2.012528</td>\n",
       "      <td>24.389085</td>\n",
       "      <td>-1.9982</td>\n",
       "      <td>3.062</td>\n",
       "      <td>35.703</td>\n",
       "      <td>1.856487</td>\n",
       "      <td>1</td>\n",
       "      <td>0.928244</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>3.951717</td>\n",
       "      <td>-2.013979</td>\n",
       "      <td>24.544752</td>\n",
       "      <td>-1.9982</td>\n",
       "      <td>3.030</td>\n",
       "      <td>53.781</td>\n",
       "      <td>1.856487</td>\n",
       "      <td>1</td>\n",
       "      <td>0.928244</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3.934352</td>\n",
       "      <td>-2.011144</td>\n",
       "      <td>24.731385</td>\n",
       "      <td>-1.9982</td>\n",
       "      <td>3.011</td>\n",
       "      <td>71.922</td>\n",
       "      <td>1.856487</td>\n",
       "      <td>1</td>\n",
       "      <td>0.928244</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50280</th>\n",
       "      <td>3.579262</td>\n",
       "      <td>-0.001569</td>\n",
       "      <td>34.864823</td>\n",
       "      <td>0.0006</td>\n",
       "      <td>0.000</td>\n",
       "      <td>2781.312</td>\n",
       "      <td>1.325079</td>\n",
       "      <td>168</td>\n",
       "      <td>0.662540</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50281</th>\n",
       "      <td>3.581964</td>\n",
       "      <td>-0.003067</td>\n",
       "      <td>34.814770</td>\n",
       "      <td>0.0006</td>\n",
       "      <td>0.000</td>\n",
       "      <td>2791.062</td>\n",
       "      <td>1.325079</td>\n",
       "      <td>168</td>\n",
       "      <td>0.662540</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50282</th>\n",
       "      <td>3.584484</td>\n",
       "      <td>-0.003079</td>\n",
       "      <td>34.676258</td>\n",
       "      <td>0.0006</td>\n",
       "      <td>0.000</td>\n",
       "      <td>2800.828</td>\n",
       "      <td>1.325079</td>\n",
       "      <td>168</td>\n",
       "      <td>0.662540</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50283</th>\n",
       "      <td>3.587336</td>\n",
       "      <td>0.001219</td>\n",
       "      <td>34.565580</td>\n",
       "      <td>0.0006</td>\n",
       "      <td>0.000</td>\n",
       "      <td>2810.640</td>\n",
       "      <td>1.325079</td>\n",
       "      <td>168</td>\n",
       "      <td>0.662540</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50284</th>\n",
       "      <td>3.589937</td>\n",
       "      <td>-0.000583</td>\n",
       "      <td>34.405920</td>\n",
       "      <td>0.0006</td>\n",
       "      <td>0.000</td>\n",
       "      <td>2820.390</td>\n",
       "      <td>1.325079</td>\n",
       "      <td>168</td>\n",
       "      <td>0.662540</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>50285 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       terminal_voltage  terminal_current  temperature  charge_current  \\\n",
       "0              4.191492         -0.004902    24.330034         -0.0006   \n",
       "1              4.190749         -0.001478    24.325993         -0.0006   \n",
       "2              3.974871         -2.012528    24.389085         -1.9982   \n",
       "3              3.951717         -2.013979    24.544752         -1.9982   \n",
       "4              3.934352         -2.011144    24.731385         -1.9982   \n",
       "...                 ...               ...          ...             ...   \n",
       "50280          3.579262         -0.001569    34.864823          0.0006   \n",
       "50281          3.581964         -0.003067    34.814770          0.0006   \n",
       "50282          3.584484         -0.003079    34.676258          0.0006   \n",
       "50283          3.587336          0.001219    34.565580          0.0006   \n",
       "50284          3.589937         -0.000583    34.405920          0.0006   \n",
       "\n",
       "       charge_voltage      time  capacity  cycle       SOH  \n",
       "0               0.000     0.000  1.856487      1  0.928244  \n",
       "1               4.206    16.781  1.856487      1  0.928244  \n",
       "2               3.062    35.703  1.856487      1  0.928244  \n",
       "3               3.030    53.781  1.856487      1  0.928244  \n",
       "4               3.011    71.922  1.856487      1  0.928244  \n",
       "...               ...       ...       ...    ...       ...  \n",
       "50280           0.000  2781.312  1.325079    168  0.662540  \n",
       "50281           0.000  2791.062  1.325079    168  0.662540  \n",
       "50282           0.000  2800.828  1.325079    168  0.662540  \n",
       "50283           0.000  2810.640  1.325079    168  0.662540  \n",
       "50284           0.000  2820.390  1.325079    168  0.662540  \n",
       "\n",
       "[50285 rows x 9 columns]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data = pd.read_csv('dataset/B05_discharge_soh.csv')\n",
    "df = pd.DataFrame(data)\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>cycle</th>\n",
       "      <th>capacity</th>\n",
       "      <th>SOH</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1.856487</td>\n",
       "      <td>0.928244</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>1.856487</td>\n",
       "      <td>0.928244</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>1.856487</td>\n",
       "      <td>0.928244</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>1.856487</td>\n",
       "      <td>0.928244</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>1.856487</td>\n",
       "      <td>0.928244</td>\n",
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       "      <th>...</th>\n",
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       "      <th>50280</th>\n",
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       "      <td>0.662540</td>\n",
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       "    <tr>\n",
       "      <th>50281</th>\n",
       "      <td>168</td>\n",
       "      <td>1.325079</td>\n",
       "      <td>0.662540</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50282</th>\n",
       "      <td>168</td>\n",
       "      <td>1.325079</td>\n",
       "      <td>0.662540</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50283</th>\n",
       "      <td>168</td>\n",
       "      <td>1.325079</td>\n",
       "      <td>0.662540</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50284</th>\n",
       "      <td>168</td>\n",
       "      <td>1.325079</td>\n",
       "      <td>0.662540</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>50285 rows × 3 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "       cycle  capacity       SOH\n",
       "0          1  1.856487  0.928244\n",
       "1          1  1.856487  0.928244\n",
       "2          1  1.856487  0.928244\n",
       "3          1  1.856487  0.928244\n",
       "4          1  1.856487  0.928244\n",
       "...      ...       ...       ...\n",
       "50280    168  1.325079  0.662540\n",
       "50281    168  1.325079  0.662540\n",
       "50282    168  1.325079  0.662540\n",
       "50283    168  1.325079  0.662540\n",
       "50284    168  1.325079  0.662540\n",
       "\n",
       "[50285 rows x 3 columns]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_B05  ## result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Shape of data : (50285, 3)\n",
      "Shape of data : (50285, 3)\n",
      "Shape of data : (34866, 3)\n",
      "Shape of data : (47065, 3)\n",
      "Shape of data : (47065, 3)\n",
      "Shape of data : (24519, 3)\n",
      "Shape of data : (24519, 3)\n",
      "Shape of data : (24519, 3)\n"
     ]
    }
   ],
   "source": [
    "for i in range(len(listdir)):\n",
    "    print(\"Shape of data :\", np.shape(globals()['data_{}'.format(num[i])]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Visualization of capacity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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3+9geF1xF5NePF4grjVjV07qOvlqDvlqDvppHT61BX63hz32NjAy/4D6vB2yHw6E+ffpozZo1atiwobZt26YHH3xQp0+f1qZNm3TPPfcoOztbsbGx3i7VMjUF5epWGvH3kA0AABBovBawV61apaKiIg0aNEjJyclKSkpSSEiIunTpop49e6qiokJbt27V4MGD5XQ6lZqa6q1SAQAAALfZnE6n09tFmFRaWu5XU0TcUd2a2P48gu3PfxbyZfTVGvTVGvTVPHpqDfpqDX/uq09PEYE5gThPGwAAwN9wJccAwRUhAQAAfAMB2w9wNUgAAAD/wRQRP0GYBgAA8A8E7DqEOdoAAADWI2DXEe6upU0IBwAAqB3mYAcIE/O0+aAkAABA7TGCHUAYaQYAAPA+AjYuClNIAAAAqscUEbiNKSQAAAA1I2DXEaylDQAA4BlMEalDagrT28f2MDIFhGkkAACgLiNgo5LaBmF3lwMEAAAIVEwRAQAAAAxiBBtuMzWFxFPcqdWfng8AAPAPBGxcFBPh0xOh1p2pKkxnAQAAVmCKCDyKpf4AAECgI2DDKJYDBAAAdR1TRGCcv0wjAQAAsAIBGz7Hl+ZGE/QBAMDFYooIApI7U1Vqug/zxQEAwKVgBBse5cml/tw5J6PRAADANAI2PO5cqI2IaKiTJ4u8XE3tMY0EAAD8GlNEgFpgGgkAAPhPjGDD57g7jYSRYwAA4IsI2PBJNQVlT6w04m+XhgcAAL6BgA1UgzANAAAuFgEbsBij4AAA1C18yBGoBdbSBgAA/4kRbKCWGI0GAAC/RsCGX+IDiJeGngEAYD0CNvwWwfDieGLlFQAAwBxsAAAAwChGsAELcdEcAADqHgI2YDFfuGgOAADwHKaIAAAAAAYxgg34idpOI2HlFQAAPIOADfgBU9NICNMAAFiPKSIAAACAQQRswMtqutw6AADwL0wRAXwAYRoAgMDBCDYAAABgEAEb8ANMIwEAwH8wRQTwE54I01x1EgCA2mMEG4Ck6pcCvJj7AABQ1xGwAQAAAIMI2AAAAIBBzMEG4HHM47YGfQUA30DABuBRpi77XtfUFJ7pKwD4DqaIAJDk3lKA7tyn88zNVf6hdvhwKQD4F0awAbi4M9JZ3X0YRQUAwMMBe/fu3ZoxY4YyMzMrbV+9erXefPNN2e12xcbGKiUlRUFBQYqPj1d4eLgkqXnz5kpLS/NkuQAAAMBF81jAXrRokVauXKnQ0NBK20+fPq3Zs2dr1apVCg0N1ZgxY7Rp0yZ1795dkqqEcQDApeFDkADgGR6bg92iRQtlZGRU2R4SEqKlS5e6gndZWZnq16+v/fv3q7i4WMOGDVNSUpKys7M9VSoAC7l72Xfmcl+cmvrKPG4A8ByPjWD37t1bx44dq7I9KChITZs2lXR2tLqoqEjdunVTXl6ehg8frgEDBujIkSMaMWKE1q1bp+Dg6ku2222KiGhovH67PciS89Zl9NQavtrXX9f0ryl/qPa+rZ9fd97tnWdurvFYq3izr/+a8ofz9uQ/e3GpvfHm68VXX6/+jJ5ag75aI1D76hMfcqyoqND06dN1+PBhZWRkyGazKTo6WlFRUa6vIyIiVFBQoGuuuabac5WXO3XyZJHxGiMiGlpy3rqMnlrDm33dPrbHBachmKrJW8/N26/X841QW9FTT08j8XZfAxE9tQZ9tYY/9zUyMvyC+3wiYE+cOFEhISGaO3eugoLOzlpZvny58vLylJKSovz8fDkcDkVGRnq5UgA18dScXneCIHOOLw6rwACAGV5bB3vVqlXKyspSbm6uK0wPHTpUiYmJ+uSTT9S/f3+dOnVKCQkJSk5OVmpqao3TQwDUDe7MJ2bOMQDAWzyaWJs3b65ly5ZJkvr27evavn///vPef+bMmR6pCwACXXXTdwDgHN4nzGBIGIDP8VQYrGvTTPy1bgCewTQxcwjYAHyS1W/m7vwg4YdNVYH0CwcAWIWADQC1EEiBs6a/HPALBwC4h4ANwO+4M4XEE9NMAjFw+mvdCDyB9MtroOF7UzMCNgC/5M6bOW/43sEPX9RWIP7yGij43rjHa8v0AQACD8sjAv7rQgGZ4HzxGMEGUCf5yjSTuqqmvtL3wGbi+8trxBomesj3hoANoA67mGkmtbmcb6AsB2jqF46a/sTMn6ADm4nvL68R38X35iwCNgBcIncCZ6AtB+hr9QCALyJgA0AtEDgB86z8awn/Z2uH7417CNgAAGOYtw5Tavua8ae/DPkbvjc1I2ADAIzy1A9Igjz8Ba/Vuodl+gAAHlXTUmDuLBXGcoD+y8RScCaXk+s8c3OVfybVtdcqS/2dxQg2AFiI5QDPr6bVWVgqLLCZ+D5Y9Ro5t93Tr5VAer3y/5eADQCW46qTnuducPL3H+LwDbV9HflS0PcFgfD/lykiAIA6qa796b6uMTVV4dy0kdbPrzvvFBJeRxfPxPfG1/vOCDYAANXw5VEyVI/VLnyXiYt4+TICNgDA73hq3vqlXijIH6/UCWuwbnTdRMAGAPglXwgXgXalzrrGU7+oeWoknRDuOwjYAICA428rs/hTrYHGF/ps4vUaSL/I+dv/3/MhYAMAAlJNP4x95Ye4qWDkC8+lLjL1OuJ7VZm//P+9EAI2AKDO8pUfxrUVSKOXvsTdEEePvcOX+07ABgDgAnxplMxX6qhrAn21C1iDgA0AQDWqC7GeulKnJ6eREOR9jy/9ogf3ELABAKgFf7lSJyue+Dd/n5Nc1xCwAQDwIoIRTOE14zsI2AAAeFltg5EnQzq/DAA1I2ADABAAPPFhPKaQAO4J8nYBAACgehcKr4RawDcxgg0AgB/wxDQS5oMDZhCwAQCoI/xlxRPA3zFFBAAAADCIgA0AANzCXHDAPUwRAQAAbiNMAzVjBBsAAAAwiIANAAAAGETABgAAAAwiYAMAAAAGEbABAAAAgwjYAAAAgEEEbAAAAMAgAjYAAABgEAEbAAAAMIiADQAAABhEwAYAAAAMImADAAAABhGwAQAAAIMI2AAAAIBBBGwAAADAIAI2AAAAYBABGwAAADDIowF79+7dSkxMrLJ948aNevDBBzVo0CAtW7ZMklRRUaGJEydq0KBBSkxM1NGjRz1ZKgAAAHBJgj31QIsWLdLKlSsVGhpaaXtpaanS0tK0fPlyhYaGKiEhQXfccYd27dqlkpISZWVlKTs7W+np6Zo3b56nygUAAAAuicdGsFu0aKGMjIwq2w8ePKgWLVro8ssvV0hIiG655Rbt2LFDO3fuVFxcnCSpffv2ysnJ8VSpAAAAwCXz2Ah27969dezYsSrbHQ6HwsPDXbcbNWokh8Mhh8OhsLAw13a73a6ysjIFB1dfst1uU0REQ3OFu84bZMl56zJ6ag36ag36ag36ah49tQZ9tUag9tVjAftCwsLCVFhY6LpdWFio8PDwKtsrKipqDNeSVF7u1MmTRcbrjIhoaMl56zJ6ag36ag36ag36ah49tQZ9tYY/9zUyMvyC+7y+ikhMTIyOHj2qkydPqqSkRDt27FCHDh3UsWNHbd68WZKUnZ2t2NhYL1cKAAAA1MxrI9irVq1SUVGRBg0apHHjxmn48OFyOp168MEHddVVV6lXr17aunWrBg8eLKfTqdTUVG+VCgAAALjN5nQ6nd4uwqTS0nKmiPgJemoN+moN+moN+moePbUGfbWGP/fVp6eIAAAAAIGEgA0AAAAYRMAGAAAADCJgAwAAAAYRsAEAAACDCNgAAACAQW4H7PLycivrAAAAAAKC2wE7Li5O6enpOnDggJX1AAAAAH7N7YCdnJysvXv3Kj4+XvHx8VqyZIlOnDhhZW0AAACA33E7YA8YMEBLlizRhg0bdPfdd2vZsmXq0aOHRo0apfXr16usrMzKOgEAAAC/cNEfcrz22mv12GOPadmyZXriiSe0detWjR49Wj169NCcOXN0+vRpK+oEAAAA/ELwxdy5vLxcn332mVauXKlNmzYpNDRUAwYMUHx8vH744QdNnz5d+/bt0/z5862qFwAAAPBpbgfsKVOmaO3atfrll1/Uo0cPTZ8+XbfffruCg8+e4qabblJxcbH+9re/WVYsAAAA4OvcDtg7d+7Uo48+qvvuu0+NGzc+733atGmj6dOnGysOAAAA8Dduz8G+8847NWjQoCrh2uFwKC0tTZIUExOjO++802yFAAAAgB+pNmCfOHFCx48f1/Hjx/Xqq6/q0KFDrtvn/v3zn//Uu+++66l6AQAAAJ9W7RSRzZs3a9y4cbLZbJKk/v37n/d+vXr1Ml8ZAAAA4IeqDdjx8fFq0aKFKioq9NBDD2nu3Lm6/PLLXfttNpsaNWqkVq1aWV4oAAAA4A9q/JBjx44dJUkbNmzQtdde6xrNBgAAAFBVtQH7+eef17hx49SoUaMa17aeMmWK0cIAAAAAf1RtwD5y5IjKy8tdX18Io9oAAADAWdUG7MzMzPN+fc6ZM2dUv35981UBAAAAfsrtdbCLi4v17LPPau7cua5tf/jDHzR+/HidPn3akuIAAAAAf+N2wP7v//5v7d27V127dnVtmzx5sr766ivNmDHDkuIAAAAAf+N2wN64caPS0tLUvn1717a4uDhNnTpV69ats6Q4AAAAwN+4HbDPnDmjBg0aVNkeFhamwsJCo0UBAAAA/srtgN25c2fNmTNHRUVFrm3FxcV65ZVXXGtlAwAAAHVdjReaOWf8+PF66KGH1KNHD7Vs2VKSdPjwYTVq1Eivv/66ZQUCAAAA/sTtgB0VFaU1a9boww8/1L/+9S8FBwerf//+6tu3r0JDQ62sEQAAAPAbbgdsSQoPD9fgwYOrbGc9bAAAAOAstwP2zz//rPnz5ysvL891dUen06nS0lJ9/fXX2rFjh2VFAgAAAP7C7Q85vvDCC1q9erWuuuoq7dixQ9dee61KS0uVnZ2tkSNHWlkjAAAA4DfcHsH+4osv9NJLLykuLk65ubkaOnSobrjhBk2ePFn79u2zskYAAADAb1zUpdJbtWolSYqOjtbevXslSQkJCdq+fbs11QEAAAB+xu2A3axZMx06dEjS2YB9btTabrfrl19+saY6AAAAwM+4PUXk/vvv17PPPqv09HTdcccdevjhh9W8eXNt2bJFbdq0sbJGAAAAwG+4HbD//Oc/q0GDBqqoqFD79u316KOPasGCBWrcuLFefPFFK2sEAAAA/IbN6XQ6vV2ESaWl5Tp5sqjmO16kiIiGlpy3LqOn1qCv1qCv1qCv5tFTa9BXa/hzXyMjwy+476IuNLNr1y699dZbysvLU1BQkG688UYNHTpU119/fa2LBAAAAAKB2x9y/OSTTzRkyBDl5+erR48e6tq1q44cOaL+/fvrn//8p5U1AgAAAH7D7RHsOXPmaNSoURo9enSl7bNmzdL06dO1YsUK48UBAAAA/sbtEexvvvlGffr0qbL9gQce0Ndff220KAAAAMBfuR2wO3TooPXr11fZ/uWXX6pdu3ZGiwIAAAD8ldtTRLp166aMjAzt2bNHnTt3VnBwsHJzc/XBBx8oPj5e8+fPd9135MiRlhQLAAAA+Dq3A/a7776rJk2aaM+ePdqzZ49re9OmTbVlyxbXbZvNRsAGAABAneV2wN64caOVdQAAAAAB4aLWwS4rK9NPP/2k8vJySZLT6VRJSYn27Nmj++67z5ICAQAAAH/idsD+7LPPNG7cOJ04caLKvtDQUAI2AAAAoItYRWTmzJlq166dFi9erAYNGmjevHl64YUXdNlllyk9Pd3KGgEAAAC/4fYI9sGDB/Xiiy8qNjZWN954o+rVq6fBgwcrNDRUb7zxhu666y4r6wQAAAD8gtsj2MHBwWrUqJEkKSoqSnl5eZKkzp076+DBg9ZUBwAAAPgZt0ew27ZtqxUrVujJJ59UbGysPv/8cz388MM6cuSIgoJqzukVFRVKSUnRgQMHFBISoqlTpyoqKkqSVFBQoDFjxrjuu2/fPo0dO1YJCQmKj49XeHi4JKl58+ZKS0u72OcIAAAAeIzbAXv06NF69NFHFR4ervvvv19z585VfHy8vv32W9155501Hr9+/XqVlJQoKytL2dnZSk9P17x58yRJkZGRyszMlCTt2rVLs2bN0sCBA3XmzAznF9YAABX4SURBVBlJcu0DAAAAfJ3bAfu3v/2tPvroI5WWlqpx48aaP3++1q9fr8aNGyspKanG43fu3Km4uDhJUvv27ZWTk1PlPk6nU1OmTNGMGTNkt9uVk5Oj4uJiDRs2TGVlZRozZozat29/EU8PAAAA8KwaA/aXX36pKVOmaObMmYqNjXVtX7RokQ4fPqzU1FSFhITU+EAOh0NhYWGu23a7XWVlZQoO/r8SNm7cqNatW6tly5aSpAYNGmj48OEaMGCAjhw5ohEjRmjdunWVjvlPdrtNERENa6znYtntQZacty6jp9agr9agr9agr+bRU2vQV2sEal+rDdg5OTkaMWKEfvvb37o+4HjOww8/rAULFmjYsGHKyspSmzZtqn2gsLAwFRYWum5XVFRUCcorV66sNBoeHR2tqKgo2Ww2RUdHKyIiQgUFBbrmmmsu+Djl5U6dPFlUbS2XIiKioSXnrcvoqTXoqzXoqzXoq3n01Br01Rr+3NfIyPAL7qv204mvvvqq7rnnHi1cuFDNmjWrtO/WW2/V66+/rri4OL3yyis1FtGxY0dt3rxZkpSdnV1pNPyc3NxcdezY0XV7+fLlrjW28/Pz5XA4FBkZWeNjAQAAAN5SbcD+6quvNHTo0GpPMGzYMGVnZ9f4QL169VJISIgGDx6stLQ0jR8/XqtWrVJWVpYk6cSJE2rUqJFsNpvrmP79++vUqVNKSEhQcnKyUlNTq50eAgAAAHhbtWm1qKioytSQ/9S0aVM5HI4aHygoKEiTJ0+utC0mJsb1dePGjfXBBx9U2h8SEqKZM2fWeG4AAADAV1Q7gn3dddfpq6++qvYEX331VbVzogEAAIC6pNqA3adPH82ZM0c//vjjefcXFBRo9uzZ6t27tyXFAQAAAP6m2ikiSUlJWrdune699171799fv/nNbxQeHq7//d//1e7du7VixQo1b95cI0aM8FS9AAAAgE+rNmDXq1dPmZmZmjVrlt577z29/vrrrn1NmjTRwIED9fjjj6thw8BbvxAAAAC4FDUuydGgQQONHz9ezzzzjL755hv98ssvuuKKK9SiRYtKK34AAAAAuIhLpderV891hUUAAAAA51fthxwBAAAAXBwCNgAAAGAQARsAAAAwiIANAAAAGETABgAAAAwiYAMAAAAGEbABAAAAgwjYAAAAgEEEbAAAAMAgAjYAAABgEAEbAAAAMIiADQAAABhEwAYAAAAMImADAAAABhGwAQAAAIMI2AAAAIBBBGwAAADAIAI2AAAAYBABGwAAADCIgA0AAAAYRMAGAAAADCJgAwAAAAYRsAEAAACDCNgAAACAQQRsAAAAwCACNgAAAGAQARsAAAAwiIANAAAAGETABgAAAAwiYAMAAAAGEbABAAAAgwjYAAAAgEEEbAAAAMAgAjYAAABgEAEbAAAAMIiADQAAABhEwAYAAAAMImADAAAABhGwAQAAAIMI2AAAAIBBBGwAAADAIAI2AAAAYBABGwAAADCIgA0AAAAYRMAGAAAADAr21ANVVFQoJSVFBw4cUEhIiKZOnaqoqCjX/sWLF2v58uVq3LixJGnSpEm67rrrqj0GAAAA8DUeC9jr169XSUmJsrKylJ2drfT0dM2bN8+1Pzc3V9OmTVPbtm1d2z7++ONqjwEAAAB8jccC9s6dOxUXFydJat++vXJycirtz83N1cKFC1VQUKDbb79djz32WI3HAAAAAL7GYwHb4XAoLCzMddtut6usrEzBwWdLuPfeezVkyBCFhYVp9OjR2rRpU43HnI/dblNEREPj9dvtQZacty6jp9agr9agr9agr+bRU2vQV2sEal89FrDDwsJUWFjoul1RUeEKyk6nU0OHDlV4eLgkqWfPntq7d2+1x1xIeblTJ08WGa8/IqKhJeety+ipNeirNeirNeirefTUGvTVGv7c18jI8Avu89gqIh07dtTmzZslSdnZ2YqNjXXtczgc6tOnjwoLC+V0OrVt2za1bdu22mMAAAAAX+SxEexevXpp69atGjx4sJxOp1JTU7Vq1SoVFRVp0KBBSk5OVlJSkkJCQtSlSxf17NlTFRUVVY4BAAAAfJnN6XQ6vV2ESaWl5UwR8RP01Br01Rr01Rr01Tx6ag36ag1/7qtPTBEBAAAA6gICNgAAAGAQARsAAAAwiIANAAAAGETABgAAAAwiYAMAAAAGEbABAAAAgwjYAAAAgEEEbAAAAMAgAjYAAABgEAEbAAAAMIiADQAAABhEwAYAAAAMImADAAAABhGwAQAAAIMI2AAAAIBBBGwAAADAIAI2AAAAYBABGwAAADCIgA0AAAAYRMAGAAAADCJgAwAAAAYRsAEAAACDCNgAAACAQQRsAAAAwCACNgAAAGAQARsAAAAwiIANAAAAGETABgAAAAwiYAMAAAAGEbABAAAAgwjYAAAAgEEEbAAAAMAgAjYAAABgEAEbAAAAMIiADQAAABhEwAYAAAAMImADAAAABhGwAQAAAIMI2AAAAIBBBGwAAADAIAI2AAAAYBABGwAAADCIgA0AAAAYRMAGAAAADCJgAwAAAAYRsAEAAACDCNgAAACAQQRsAAAAwCACNgAAAGAQARsAAAAwKNhTD1RRUaGUlBQdOHBAISEhmjp1qqKiolz7V69erTfffFN2u12xsbFKSUlRUFCQ4uPjFR4eLklq3ry50tLSPFUyAAAAcNE8FrDXr1+vkpISZWVlKTs7W+np6Zo3b54k6fTp05o9e7ZWrVql0NBQjRkzRps2bVL37t0lSZmZmZ4qEwAAAKgVj00R2blzp+Li4iRJ7du3V05OjmtfSEiIli5dqtDQUElSWVmZ6tevr/3796u4uFjDhg1TUlKSsrOzPVUuAAAAcEk8NoLtcDgUFhbmum2321VWVqbg4GAFBQWpadOmks6OVhcVFalbt27Ky8vT8OHDNWDAAB05ckQjRozQunXrFBx84bLtdpsiIhoar99uD7LkvHUZPbUGfbUGfbUGfTWPnlqDvlojUPvqsYAdFhamwsJC1+2KiopKQbmiokLTp0/X4cOHlZGRIZvNpujoaEVFRbm+joiIUEFBga655poLPk55uVMnTxYZrz8ioqEl563L6Kk16Ks16Ks16Kt59NQa9NUa/tzXyMjwC+7z2BSRjh07avPmzZKk7OxsxcbGVto/ceJEnTlzRnPnznVNFVm+fLnS09MlSfn5+XI4HIqMjPRUyQAAAMBF89gIdq9evbR161YNHjxYTqdTqampWrVqlYqKitS2bVstX75cnTp10tChQyVJSUlJ6t+/v8aPH6+EhATZbDalpqZWOz0EAAAA8Dab0+l0ersIk0pLy5ki4ifoqTXoqzXoqzXoq3n01Br01Rr+3FefmCICAAAA1AUEbAAAAMAgAjYAAABgEAEbAAAAMIiADQAAABhEwAYAAAAMImADAAAABhGwAQAAAIMI2AAAAIBBBGwAAADAIAI2AAAAYBABGwAAADCIgA0AAAAYRMAGAAAADCJgAwAAAAYRsAEAAACDCNgAAACAQQRsAAAAwCACNgAAAGAQARsAAAAwiIANAAAAGETABgAAAAwiYAMAAAAGEbABAAAAgwjYAAAAgEEEbAAAAMAgAjYAAABgEAEbAAAAMIiADQAAABhEwAYAAAAMImADAAAABhGwAQAAAIMI2AAAAIBBBGwAAADAIAI2AAAAYBABGwAAADCIgA0AAAAYRMAGAAAADCJgAwAAAAYRsAEAAACDCNgAAACAQQRsAAAAwCACNgAAAGAQARsAAAAwiIANAAAAGETABgAAAAwiYAMAAAAGEbABAAAAgwjYAAAAgEEEbAAAAMAgAjYAAABgULCnHqiiokIpKSk6cOCAQkJCNHXqVEVFRbn2b9y4Ua+++qqCg4P14IMPauDAgTUeA+D/dJ65ucq27WN7eKESAHUd70e+i++NZ3hsBHv9+vUqKSlRVlaWxo4dq/T0dNe+0tJSpaWl6Y033lBmZqaysrJUUFBQ7TEA/s/53jCr2w4AVuH9yHfxvfEcj41g79y5U3FxcZKk9u3bKycnx7Xv4MGDatGihS6//HJJ0i233KIdO3YoOzv7gscAAAAAvshjAdvhcCgsLMx12263q6ysTMHBwXI4HAoPD3fta9SokRwOR7XHXIjdblNEREPj9dvtQZacty6jp55Bj83g9WoN+mqeL/fUV+tyhy/31QRvPbdA7avHAnZYWJgKCwtdtysqKlxB+T/3FRYWKjw8vNpjLqS83KmTJ4sMV3/2hWfFeesyeuoZ9NgMXq/WoK/m+XJPfbUud/hyX03w1nPz575GRoZfcJ/H5mB37NhRmzefneOTnZ2t2NhY176YmBgdPXpUJ0+eVElJiXbs2KEOHTpUewwAAADgi2xOp9PpiQc6tyJIXl6enE6nUlNTtXfvXhUVFWnQoEGuVUScTqcefPBB/fGPfzzvMTExMdU+TmlpOSPYfoKemsUnw63F69Ua9NU8X+hpIL4f+UJfTfC1740/97W6EWyPBWxPIWD7D3pqDfpqDfpqDfpqHj21Bn21hj/31SemiAAAAAB1AQEbAAAAMIiADQAAABhEwAYAAAAMImADAAAABhGwAQAAAIMI2AAAAIBBBGwAAADAIAI2AAAAYBABGwAAADCIgA0AAAAYRMAGAAAADCJgAwAAAAYRsAEAAACDCNgAAACAQTan0+n0dhEAAABAoGAEGwAAADCIgA0AAAAYRMAGAAAADCJgAwAAAAYRsAEAAACDCNgAAACAQcHeLsCXVVRUKCUlRQcOHFBISIimTp2qqKgob5fl13bv3q0ZM2YoMzNTR48e1bhx42Sz2dS6dWu98MILCgrid76LUVpaqr/+9a/69ttvVVJSoj//+c9q1aoVfa2l8vJyTZgwQYcPH5bdbldaWpqcTid9NeCnn35Sv3799MYbbyg4OJieGhAfH6/w8HBJUvPmzTVy5Ej6asCCBQu0ceNGlZaWKiEhQbfeeit9raX3339ff//73yVJZ86c0b59+/TOO+8oNTU14Prq/8/AQuvXr1dJSYmysrI0duxYpaene7skv7Zo0SJNmDBBZ86ckSSlpaXp6aef1jvvvCOn06kNGzZ4uUL/s3LlSkVEROidd97RokWLNGXKFPpqwKZNmyRJS5cu1ZNPPqm0tDT6akBpaakmTpyoBg0aSOI9wIRz76eZmZnKzMzktWrItm3btGvXLr377rvKzMzU999/T18N6Nevn+u1etNNN2nChAl69dVXA7KvBOxq7Ny5U3FxcZKk9u3bKycnx8sV+bcWLVooIyPDdTs3N1e33nqrJKlHjx76/PPPvVWa3/rDH/6gp556ynXbbrfTVwPuvPNOTZkyRZJ0/PhxNW3alL4aMG3aNA0ePFhXXnmlJN4DTNi/f7+Ki4s1bNgwJSUlKTs7m74asGXLFsXGxmrUqFEaOXKkbr/9dvpq0J49e/T1119r0KBBAdtXAnY1HA6HwsLCXLftdrvKysq8WJF/6927t4KD/29WktPplM1mkyQ1atRIp06d8lZpfqtRo0YKCwuTw+HQk08+qaeffpq+GhIcHKy//OUvmjJlinr37k1fa+n9999X48aNXYMWEu8BJjRo0EDDhw/X66+/rkmTJumZZ56hrwb8/PPPysnJ0Zw5c+irBRYsWKBRo0ZJCtz3AQJ2NcLCwlRYWOi6XVFRUSkgonZ+PceqsLBQl112mRer8V/fffedkpKSdP/996tv37701aBp06bpo48+0vPPP+/6U7xEXy/FihUr9PnnnysxMVH79u3TX/7yF504ccK1n55emujoaN13332y2WyKjo5WRESEfvrpJ9d++nppIiIi1L17d4WEhKhly5aqX79+peBHXy/dL7/8okOHDum2226TFLhZgIBdjY4dO2rz5s2SpOzsbMXGxnq5osBy4403atu2bZKkzZs3q1OnTl6uyP/8+OOPGjZsmJ599ln1799fEn014R//+IcWLFggSQoNDZXNZlPbtm3pay28/fbbeuutt5SZmakbbrhB06ZNU48ePehpLS1fvtz1+aD8/Hw5HA5169aNvtbSLbfcos8++0xOp1P5+fkqLi5Wly5d6KsB27dvV9euXV23A/Vnls3pdDq9XYSvOreKSF5enpxOp1JTUxUTE+PtsvzasWPHNGbMGC1btkyHDx/W888/r9LSUrVs2VJTp06V3W73dol+ZerUqVq7dq1atmzp2va3v/1NU6dOpa+1UFRUpPHjx+vHH39UWVmZRowYoZiYGF6vhiQmJiolJUVBQUH0tJZKSko0fvx4HT9+XDabTc8884yuuOIK+mrAiy++qG3btsnpdCo5OVnNmzenrwa89tprCg4O1p/+9CdJCtgsQMAGAAAADGKKCAAAAGAQARsAAAAwiIANAAAAGETABgAAAAwiYAMAAAAGEbABAOeVkZGhXr16ebsMAPA7BGwAAADAIAI2AAAAYBABGwACgMPh0KRJk9S1a1d16NBBw4cP1+7du9W2bVutXbu20n2fffZZjRo16oLHHTp06LyP8d133+nJJ59Ux44d1bVrVyUnJys/P9/y5wYA/oaADQAB4Omnn9YXX3yhmTNnasWKFWrYsKGSk5PVtWtXrVy50nW/oqIirV+/Xg888MAFj3vkkUdUWlpa6fxFRUVKTExU/fr1tXTpUr3++usqLS3V0KFDVVJS4tHnCgC+joANAH7u0KFD+uyzzzRp0iR16dJFLVu21OTJk3XXXXfpvvvu02effaaff/5ZkvTJJ5+ofv366tmzZ7XHnTx5stJjfPjhhyouLlZ6erpiY2N1ww036KWXXlJ+fr4+/vhjbzxtAPBZwd4uAABQO3l5eZKkdu3aubZdccUVGjdunEpLSzV16lStXbtWQ4YM0cqVK9WnTx/Vq1ev2uP+0969e3XixAl16tSp0vbi4mIdPHjQiqcFAH6LgA0Afi44+MJv5fXq1VOfPn20evVq9erVS1988YXGjh1b43HnO0+rVq30yiuvVNkXHh5+8UUDQABjiggA+LmYmBhJUk5Ojmubw+FQly5dtGPHDvXr10+7du3Se++9p5iYGN14441uHfdrrVu31rFjxxQREaGoqChFRUWpSZMmSktLc42EAwDOImADgJ+Ljo7W73//e02aNEk7duzQwYMHNX78eIWHh6tdu3a68cYb1bp1ay1YsED9+vVz+7hf69u3r6644go9/fTT2rNnj/Ly8jR27Fjt3r1brVu39vRTBgCfRsAGgACQnp6um2++WY8//rgGDhyo0tJSvfbaawoJCZEkxcfHq6ysTH379r2o485p0KCBFi9erAYNGmjo0KFKSEhQWVmZ3nzzTTVp0sRjzxMA/IHN6XQ6vV0EAMBa06ZN0+HDhzV//nxvlwIAAY8POQJAADs39WPp0qXn/YAiAMA8AjYABLANGzbo3XffVWJiorp16+btcgCgTmCKCAAAAGAQH3IEAAAADCJgAwAAAAYRsAEAAACDCNgAAACAQQRsAAAAwCACNgAAAGDQ/wMqX1lAGtX1AgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(len(listdir)) :\n",
    "\n",
    "    dff = globals()['data_{}'.format(num[i])]\n",
    "    \n",
    "    sns.set_style(\"darkgrid\")\n",
    "    plt.figure(figsize=(12, 8))\n",
    "\n",
    "    plt.scatter(dff['cycle'], dff['capacity'])\n",
    "\n",
    "    plt.ylabel('Capacity', fontsize = 15)\n",
    "    plt.xlabel('cycle', fontsize = 15)\n",
    "    plt.title('Discharge_' + num[i], fontsize = 15)\n",
    "    plt.savefig('fig/Capacity_' + num[i] + '.jpg')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Visualiztion of SoH"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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dfQAAED4I3A7mb0D19XPNXwtWgE2esb5NxzEaAgAAgo1dStAq3EAHAACgdQjcCGveut90xQEAQKAwUoKwR7gGAABmosMNAAAAmIgOt4O1dc/uULQr55o2XTjZlu51qO/WAgAA7IXA7XDHCoq+wmWoBU8rzs2NcAAAQKARuMOcrxDppIAZan88AACA8EHgRpu05oY6weDP+uhaAwAAKxC44bfWzoMHK9CaNbfe+H0J6gAAwF/sUgK/OOXiy0ChHgAAwF8EbqAROtcAACDQGCkBmmkcuulkAwCA9qLDjbBFNxsAAFiBDjdME6xA6+2GPwRsAAAQDARu+MVuITZQ67Lb5wYAAKGHwA2/hWvIDNfPDQAAAoPADbRCqN/wBwAAhB4umgT85O+OJexsAgAAGiNwAwAAACYicAMAAAAmInADAAAAJiJwAyYYNLeAWW4AACCJwA34rS27jxC6AQAA2wICreAtdBOsAQCAN3S4AQAAABMRuAEAAAATEbgBAAAAExG4gQDwNtvNbd4BAAAXTQIBQrgGAAAtIXADJmlp5xJCOQAA4YeREsAE3rYJZPtAAADCD4EbAAAAMBGBGwAAADARM9yAxRqPlQRzppsZcwAArEGHGwgiq2e6B80t8PwTCusBACAc0OEGTFCYmRqw8BqoTjRhGgCA4KDDDZikMDPV809b0YkGAMD+6HADQeYtPDNPDQCAM9DhBkIUXWwAAJyBwA1YwC7darusEwAAO2GkBLDIkTAbrM61tws5CdkAAJiLwA3YVFv28yZcAwBgPUZKAAdg3hsAgNBF4AYsRpcZAIDwwkgJEAS+QjfdagAAnIUONwAAAGAiyzrcDQ0Nys7O1s6dOxUVFaXc3FwlJSV5Xn/zzTe1aNEixcfHa+TIkRozZswxjwEQOOxgAgCAOSzrcG/YsEE1NTVavny5MjMzlZ+f73mtoqJCTz31lJYsWaJXXnlFq1ev1nfffefzGMCpvIVcX7eJb28w5hbyAACYx7IOd1FRkQYPHixJGjBggEpLSz2vfffddzrjjDOUkJAgSTrnnHO0detWffbZZ16PAZzMV4Cm6wwAgL1YFrgrKysVFxfneex2u1VXV6eIiAglJSXpyy+/1M8//6xOnTpp8+bNOu2003we443b7VJCQqypn+Xf5+pg2bnCHbX2LnnG+qOe25VzTcDen7qbh++1dai1dai1dai1tdpTb8sCd1xcnKqqqjyPGxoaPMH5uOOOU1ZWlu6++25169ZN/fr1U5cuXXwe4019vaH9+6vN+RDNJCTEWnaucEetW+Zt5CN5xvqAdcKpu3n4XluHWluHWluHWlureb0TE+P9PtayGe6UlBQVFBwOByUlJerTp4/ntbq6Om3dulVLly7VnDlztGfPHqWkpPg8BgAAALADyzrcaWlp2rRpk9LT02UYhvLy8rR69WpVV1dr3LhxioyM1KhRoxQdHa2bb75ZXbt2bfEYAIFXmJnKLiUAAJjEZRiGEexFBFJtbT0jJQ5ErVvmaxeRtoZlam0dam0dam0dam0dam2t9oyUcKdJAC2i4w0AQGBwp0nAxtiXGwCA0EeHG7A5us4AAIQ2AjfgIIyBAAAQehgpARyCMRAAAEITgRsAAAAwEYEbwFHMuhgTAIBwxAw3gBYRrgEACAwCNxAGGs9xtyVIczEmAABtx0gJ4BD+BuDWXkTJxZgAALQPHW7AQRqHbgIxAAChgQ43AAAAYCI63ADarL2z4QAAhAM63AACghEWAABaRuAGHCpQe2nTuQYAoH0YKQEcLFBhmYsxAQBoOzrcAAJm0NwCAjkAAM0QuAEEHKEbAIB/I3ADaBVmugEAaB0CN4BWK8xMJXgDAOAnAjcAAABgIgI3AAAAYCICN4A2C9Re3wAAOBn7cANoF8I1AAC+EbgBBFRLWwISygEA4YyREgAB423/bfblBgCEMwI3AAAAYCICNwAAAGAiAjcAAABgIgI3AAAAYCICN4CAYV9uAACOxraAAAKKcA0AQFN0uAEAAAAT0eEGYKpj7cFNRxwA4HR0uAGYxp8b3nBTHACA0xG4AQAAABMxUgIg6Bp3uRkxAQA4DR1uACGFERMAgNMQuAEAAAATEbgBmIbxEAAAmOEGYDJvoZvREQBAuCBwAwg5XEQJAHASRkoABIW/QZpOOADA7uhwAwiaxqGbYA0AcCo63AAAAICJCNwAAACAiQjcAAAAgIkI3ABCgreLKNmlBABgd1w0CSBkEK4BAE5EhxsAAAAwER1uACGppW0C6YADAOyIDjeAkONtT2726gYA2BGBGwAAADARIyUAbKVxl5sREwCAHdDhBmBbjJgAAOyAwA0AAACYiMANIOQwKgIAcBJmuAGEpMahm9ERAICd0eEGAAAATETgBhDyvI2YMHoCALADRkoA2ALhGgBgVwRuALZ0rLluAjoAIFQwUgLAdvy5iJILLQEAoYLADQAAAJiIwA0AAACYiMANAAAAmIjADQAAAJiIwA3AdvzZgYRdSgAAoYJtAQHYEoEaAGAXBG4AjtfSFoEEdgCAVQjcABzH3326Cd0AACswww3AUbjhDQAg1FjW4W5oaFB2drZ27typqKgo5ebmKikpyfP6qlWrtHjxYnXo0EHXX3+9JkyYIEkaMWKE4uPjJUk9evTQ7NmzrVoyAAAA0G6WBe4NGzaopqZGy5cvV0lJifLz87VgwQLP64899pjWrFmj2NhY/fa3v9Vvf/tbxcTESJKWLFli1TIBAACAgLJspKSoqEiDBw+WJA0YMEClpaVNXu/bt68OHDigmpoaGYYhl8ulsrIyHTx4UJMnT1ZGRoZKSkqsWi4AAAAQEJZ1uCsrKxUXF+d57Ha7VVdXp4iIw0tITk7W9ddfr44dOyotLU2dO3dWTEyMpkyZojFjxujrr7/WrbfeqvXr13uOAYC24oJJAIBVLEuucXFxqqqq8jxuaGjwBOeysjK9//772rhxo2JjY/XAAw9o3bp1uvLKK5WUlCSXy6WePXsqISFBe/fu1cknn+z1PG63SwkJsaZ/nsPn6mDZucIdtbaO3Wu9K+caJc9Y3+LzocbutbYTam0dam0dam2t9tTbssCdkpKi9957T9ddd51KSkrUp08fz2vx8fGKiYlRdHS03G63unbtql9++UUrVqzQF198oezsbJWXl6uyslKJiYk+z1Nfb2j//mqzP44kKSEh1rJzhTtqbR0n1Lql7nUofiYn1NouqLV1qLV1qLW1mtc7MTHe72MtC9xpaWnatGmT0tPTZRiG8vLytHr1alVXV2vcuHEaN26cJkyYoMjISJ166qkaOXKkJCkrK0vjx4+Xy+VSXl4e4yQA2oWb4AAArOYyDMMI9iICqba2ng63A1Fr6zi51r726A5G6HZyrUMNtbYOtbYOtbZWezrc3PgGAAAAMBGBGwAAADARA9EAgIBhRh4AjkaHGwB0OCge+Qdt46121BRAuCNwAwgb/nZaCYgAgEBipARAWGkcugnWAAAr0OEGgBYwXgIACBQCNwD4QOgGALQXgRsAEBDeZuTZpQRAuGOGG0DYKsxMpYMdYIRrADgagRtAWDsSEH0F78avESgBAK3FSAkAtAIdcQBAaxG4AUB0rgEA5mGkBAD+H3t0AwDMQOAGgFZiphsA0BqMlABAO9AJBwAcC4EbAFpA5xoAECiMlACAF8x0AwACgQ43AAAAYCICNwC006C5BXTAAQBeEbgBwA/+zHQTugEALSFwA4CfCjNTuZgSANBqBG4AAADAROxSAgABxE1xAADN0eEGAJMw0w0AkAjcANBqdK4BAK3BSAkAtAE3xQEA+IvADQAmYqYbAOAzcF9xxRVyuVx+vdHGjRsDsiAAcKpBcwsI3QAQhnwG7jFjxjR5bBiGFixYoIkTJ+q4444zdWEAYBeFmamMlQAAvPIZuO+4446jnnvhhRc0ceJEnXLKKaYtCgDshpluAIA37FICABYaNLeAQA4AYYbADQBBQOgGgPBB4AaAAOPCSABAY60O3P7uWgIA4awwM5XgDQCQdIyLJq+66qqjAvbBgwd14403KjIyssnz77zzTuBXBwAOljxjved/E84BwLl8Bu5hw4ZZtQ4ACGvs0Q0AzuUzcE+dOtWqdQCAI7FHNwCgVbd2/+GHH7R06VLt2rVLERERSk5O1tixY9W9e3ez1gcAtsce3QAQ3vy+aHLHjh0aOnSo1q5dq44dO8rtduutt97SsGHDVFZWZuYaAQAAANvyu8M9Z84cpaam6rHHHvNcMFlbW6uHHnpIjz/+uBYtWmTaIgEgXLXUEWfWGwDsxe8Od0lJie68884mu5NERkbqtttuU3FxsSmLAwCn8RaWW3re2/gJYykAYC9+d7g7d+6sqqqqo56vrKxURESrRsEBIKwdCdcJCbHav786yKsBAJjN7w73b37zG82aNUvffvut57mvv/5af/rTn3TZZZeZsjgAAADA7vxuTd9///26+eabdfXVV6tLly6SpH/9618699xzlZWVZdoCAcDpGBEBAGfzO3AnJCRo5cqV+vDDD7Vr1y4dOnRI3bt314gRI8xcHwA4GmEbAJzvmCMlb775pkaNGqUffvhBHTp0UPfu3bV06VLNnz9f06dP1x//+EfV19dbsVYAgNilBADsxmeHe+3atcrKytLw4cPVsWNHSdKDDz6oqqoqLVq0SPHx8Zo+fbpeeuklTZ482ZIFA0A4ImQDgH35DNxLlizRfffdp9tuu02SVFZWpu3bt+vOO+/UJZdcIkm699579dRTTxG4AcAC7MsNAPbjc6Rk586d+o//+A/P448//lgul0uXX36557m+ffs22bkEAGAO9uUGAHvyGbgNw1BUVJTncWFhoeLj43X22Wd7nvv1118VHR1t3goBwMH86U7TwQYAe/M5UnL66aerqKhIp5xyiiorK/W3v/1Nv/nNb+RyuTw/8+677yo5Odn0hQKAUxGoAcDZfAbuiRMnKjc3Vzt37lRxcbF+/fVX3XjjjZKkffv2afXq1Vq4cKFmzZplyWIBAPbBvDkAHOYzcI8YMUKHDh3S8uXL5Xa7NW/ePA0YMECS9Mwzz+j111/XLbfcwl7cAIAmfM2bE7oBhBuXYRhGWw786aefFB0d7bnrZKiora3X/v3VlpwrISHWsnOFO2ptHWptnbbU2i5dY18XcgZjvXyvrUOtrUOtrdW83omJ8X4f6/edJpvr1q1bWw8FALRRKIZrAIBvbQ7cAIDgsku3GwDC3TFv7Q4ACD3syQ0A9kHgBgAEnLdOOx14AOGIkRIAgCkI1wBwGIEbABzG37ESAjEAWIPADQBhyuo9sbnIE0C4YoYbAGzIbkGVizwBhDM63ABgU41DN8EVAEIXgRsAwljjoG63rjkA2AUjJQAASXTJAcAsBG4AcAC60wAQuhgpAQCH8Dd0B6OTXZiZyi4lAMIWgRsAYAnCNYBwReAGAAQFHW8A4YIZbgAIM95CbbBvguPreQCwMzrcABCG6CQDgHXocAMAAAAmsqzD3dDQoOzsbO3cuVNRUVHKzc1VUlKS5/VVq1Zp8eLF6tChg66//npNmDDhmMcAANqPWWoAMJdlHe4NGzaopqZGy5cvV2ZmpvLz85u8/thjj2nx4sV69dVXtXjxYv3v//7vMY8BALQPs9QAYD7LAndRUZEGDx4sSRowYIBKS0ubvN63b18dOHBANTU1MgxDLpfrmMcAAOwpFC7cBACrWDZSUllZqbi4OM9jt9uturo6RUQcXkJycrKuv/56dezYUWlpaercufMxj2mJ2+1SQkKseR+kybk6WHaucEetrUOtrRPqtT6ytuQZ6496bVfONe1+/0C8h79CvdZOQq2tQ62t1Z56Wxa44+LiVFVV5Xnc0NDgCc5lZWV6//33tXHjRsXGxuqBBx7QunXrfB7jTX29of37q835EM0kJMRadq5wR62tQ62tE+q1bilot/RaILrSZs+Rh3qtnYRaW4daW6t5vRMT4/0+1rKRkpSUFBUUHP6FWlJSoj59+nhei4+PV0xMjKKjo+V2u9W1a1f98ssvPo8BAISG9s57M0cOwOks63CnpaVp06ZNSk9Pl2EYysvL0+rVq1VdXa1x48Zp3LhxmjBhgiIjI3Xqqadq5MiRijhHM+kAABXoSURBVIiIOOoYAEDgFGamEmwBwGQuwzCMYC8ikGpr6xkpcSBqbR1qbZ1QrHVbw3d7xj98nTNQYyWhWGunotbWodbWas9ICXeaBAC0W+PQHMjZa7PeFwCsxJ0mAQABZdaICqMvAOyKwA0A8PC1P7ZZHWY61wCcjpESAEATvgJw49cC2XE2630BIBQQuAEAtsFMNwA7YqQEAGBLdMIB2AWBGwDQJr7mvc14XwCwK0ZKAABtZsWFlHSyAdgdHW4AgG0NmltAIAcQ8gjcAADbI3QDCGUEbgBASGOmG4DdEbgBACHPzBvvAIDZuGgSAOAIgd6ju6UxFUI/gLagww0AcJz2znR7O55ZcQBtQeAGANgGHWYAdsRICQDAVtijG4DdELgBAI7FHDaAUMBICQDAkZjDBhAqCNwAANuy4tbyVpwPgLMxUgIAsLUjITjQnWvCNYBAIXADAMJOS3t2+5r3ZhYcQHsQuAEAYc1XZ/xYrxG6AfiDGW4AAADARARuAIAj+LrQcVfONRavBgD+jZESAIBjMOIBIBQRuAEAaKOWLr4EgOYYKQEAhIW2BOLCzFS/j+OGOgC8ocMNAAgb/uzZ3VLAbvwcwRpAa9HhBgAAAExE4AYAAABMROAGAAAATETgBgCEHV97dpt5LIDwxEWTAICw1J6ATLgG0BoEbgAA2qmlnUsI5QCOYKQEAIB28LZNINsHAjiCwA0AAACYiMANAAAAmIgZbgAATOLvWAnz3oCz0eEGACDImPcGnI3ADQBAO9CdBnAsBG4AANqpMDOV4A3AK2a4AQCAB3uKA4FHhxsAAEhiT3HALARuAAACpK2dYDrIgLMxUgIAQAARngE0R+AGACBIQmFemnERwHyMlAAAEAShMC9N2AasQeAGAAA+MSYDtA8jJQAA4CiEbCBwCNwAANhAKMx7A2gbAjcAACHG39nqQXMLCN2ADTDDDQBAEIRCUPa2hlBYG+AkdLgBAAiSxsE2WDuGEK4B89HhBgAAAExEhxsAABtr3BkPdLeaCzWBwKDDDQCAQwRyLCUUbswDOAWBGwCAEOBv55gOM2A/jJQAABAiCNOAM9HhBgDAQQbNLWDsAwgxBG4AAByI0A2EDgI3AAA2Y8XoCTfFAQKHGW4AAGzoSPA1s5NNuAYCg8ANAIBD+RvG/Q3W7MsNtA0jJQAAhDl/gjn7cgNtR+AGAMDG6DADoY+REgAAbK5x6KbjDIQeOtwAAACAiehwAwCAdmncVd+Vc00QVwKEJjrcAAA4SFtmuv05xt/3TZ6xvtXnB5yODjcAAA5j1oWUzIoDbUOHGwAABNSguQUEcqARAjcAADAFoRs4jMANAAAAmMiyGe6GhgZlZ2dr586dioqKUm5urpKSkiRJe/fu1f333+/52R07digzM1Pjx4/XiBEjFB8fL0nq0aOHZs+ebdWSAQCAF4WZqXSwAT9ZFrg3bNigmpoaLV++XCUlJcrPz9eCBQskSYmJiVqyZIkkqbi4WPPmzdPYsWN16NAhSfK8BgAAQseRiyhDJXi3tA7uxIlQYNlISVFRkQYPHixJGjBggEpLS4/6GcMwlJOTo+zsbLndbpWVlengwYOaPHmyMjIyVFJSYtVyAQBAABy5gNLsUO7t/UPljwGEN8s63JWVlYqLi/M8drvdqqurU0TEv5fw17/+VcnJyerVq5ckKSYmRlOmTNGYMWP09ddf69Zbb9X69eubHNOc2+1SQkKseR+kybk6WHaucEetrUOtrUOtrUOtzbUr5xq/9t8eNLcgKDfGceq/e77X1mpPvS0L3HFxcaqqqvI8bmhoOCo4r1q1ShkZGZ7HPXv2VFJSklwul3r27KmEhATt3btXJ598stfz1Ncb2r+/OvAfoAUJCbGWnSvcUWvrUGvrUGvrUGvzHRndSEiI9Rm+g/Hvwan/7vleW6t5vRMT4/0+1rKRkpSUFBUUHP7POiUlJerTp89RP7Nt2zalpKR4Hq9YsUL5+fmSpPLyclVWVioxMdGaBQMAAAABYFmHOy0tTZs2bVJ6eroMw1BeXp5Wr16t6upqjRs3ThUVFerUqZNcLpfnmNGjRysrK0vjx4+Xy+VSXl6ez3ESAAAQ2rzNVHNxI5zMZRiGEexFBFJtbT0jJQ5Era1Dra1Dra1Dra1zrJESX9obusNtlxK+19Zqz0gJ7WIAABBQwdqj28nhGvZG4AYAAAHXOPyyNR/CHYEbAACEhMbBnG41nMSyXUoAAAD8RVccTkLgBgAApqJbjXDHSAkAADCdt9BNJxvhgMANAABC0rH27D7WNoDhtk0gQhcjJQAAwFYGzS3wGsaPPH+s1wErEbgBAEDQ0HFGOCBwAwCAoCrMTCV4w9EI3AAAIKz4GkkBzEDgBgAAYYnQDasQuAEAQEgIxFjJkfdgRAWhhG0BAQBAyPAVlH11pFs6ztf2gYCVCNwAACBstTbEA23BSAkAAEAL6IwjUAjcAADAFrx1nI/ViaZTjWBjpAQAANhGW8PzsW75DpiJwA0AAODFkXAeyl3ylv6ACOX1hiNGSgAAAI4hVLvi3tYVqusNVwRuAAAQVuj+wmqMlAAAgLDjLXTTGYYZ6HADAAAAJqLDDQAA4IfG3W/GUtAadLgBAAD+n79BOlRGT9q6NzmsRYcbAACgEbvt2U24Dn10uAEAAAAT0eEGAABoA2a64S863AAAAO1kh9ETBA+BGwAAwAs61wgERkoAAAB8sNtFlAg9BG4AAIAA8BbGre6St7QOOvXBxUgJAACAiazsins7F5354CJwAwAA+IlOMdqCwA0AANAKhZmptgzeg+YW0OkOEma4AQAATBYq893S4bXY8Q8GO6PDDQAAECR0nMMDgRsAAKANQrFLHIprAiMlAAAAbeYr4Aare31kTXTPQweBGwAAIIgaB2N/OtSB2Ge7tedE+zBSAgAAECKO1ZVuzT7b/gZpOuHmI3ADAACYIBQ6x0e2MAyFtYQzRkoAAABM4i3o0lUOLwRuAACAEEIYdx5GSgAAAAATEbgBAAAsFuiZan/ez9vPMN9tPkZKAAAAgiAQ+2W3Niw7KVwHYntEqxC4AQAAwtSxwn6oBlhf2yOG4poZKQEAAAhD/nTWuYAzMAjcAAAAQdTWjuyunGsCvBKYhZESAACAIAvFMQgEDoEbAAAAXvkaK+EPBf8wUgIAAIA2CdaMt922OKTDDQAAEIYKM1NtfVFkqIbrlhC4AQAAwpS30GrnIB6KCNwAAABosyPh3OyOs51udNMcM9wAAABoNzO74r5udGMHBG4AAAA0YZfOsV0wUgIAAICjMN8dOARuAAAABIS3MB7uHXNGSgAAAGCqcO+KE7gBAADgt2B0q+12o5vmGCkBAABAqzQOulZ1r+0SrltChxsAAAAwER1uAAAAmM5XJ9zO3Wt/0OEGAABAmwUiLDv9oko63AAAAGgX9uz2jcANAACAoHPyHt6MlAAAACBkOaFLTuAGAAAATETgBgAAgCmcMA4SCMxwAwAAwDRcUGlh4G5oaFB2drZ27typqKgo5ebmKikpSZK0d+9e3X///Z6f3bFjhzIzMzVu3DivxwAAACA8NA7nduyaWzZSsmHDBtXU1Gj58uXKzMxUfn6+57XExEQtWbJES5Ys0f3336+zzjpLY8eO9XkMAAAA7KutwdmOnXHLOtxFRUUaPHiwJGnAgAEqLS096mcMw1BOTo6eeOIJud1uv44BAACAPfkK3XYM1t5YFrgrKysVFxfneex2u1VXV6eIiH8v4a9//auSk5PVq1cvv49pzu12KSEh1oRP0NK5Olh2rnBHra1Dra1Dra1Dra1Dra0TzrUOxuduT70tC9xxcXGqqqryPG5oaDgqOK9atUoZGRmtOqa5+npD+/dXB2jVviUkxFp2rnBHra1Dra1Dra1Dra1Dra0TzrUOxuduXu/ExHi/j7VshjslJUUFBYf/00BJSYn69Olz1M9s27ZNKSkprToGAAAACGWWdbjT0tK0adMmpaenyzAM5eXlafXq1aqurta4ceNUUVGhTp06yeVy+TwGAAAAzleYmdriHLcddylxGYZhBHsRgVRbW89IiQNRa+tQa+tQa+tQa+tQa+tQa2vZYqQEAAAACEcEbgAAAMBEBG4AAADARARuAAAAwEQEbgAAAMBEBG4AAADARARuAAAAwEQEbgAAAMBEBG4AAADARARuAAAAwEQEbgAAAMBEBG4AAADARARuAAAAwEQEbgAAAMBEBG4AAADARC7DMIxgLwIAAABwKjrcAAAAgIkI3AAAAICJCNwAAACAiQjcAAAAgIkI3AAAAICJCNwAAACAiSKCvQC7aWhoUHZ2tnbu3KmoqCjl5uYqKSkp2MtyjNraWk2fPl3ff/+9ampqdMcdd6hbt266/fbbddppp0mSxo8fr+uuuy64C3WQESNGKD4+XpLUo0cP3X777XrooYfkcrmUnJysRx99VB068Ld5e/33f/+33njjDUnSoUOHtGPHDi1btozvdoBt3bpVTzzxhJYsWaJvvvmmxe/ya6+9pmXLlikiIkJ33HGHLr/88mAv25Ya13rHjh3KycmR2+1WVFSU5syZoxNOOEG5ubn69NNP1alTJ0nSs88+6/l9A/81rvW2bdta/L3B9zowGtd62rRp+vnnnyVJ33//vc4991zNmzevbd9rA63yzjvvGH/4wx8MwzCM4uJi4/bbbw/yipxlxYoVRm5urmEYhlFRUWFcdtllxmuvvWYsWrQoyCtzpl9//dUYPnx4k+duu+02429/+5thGIYxY8YM49133w3G0hwtOzvbWLZsGd/tAFu4cKExZMgQY8yYMYZhtPxd/uc//2kMGTLEOHTokPHLL794/jdap3mtJ06caGzfvt0wDMN49dVXjby8PMMwDCM9Pd3Yt29f0NbpBM1r3dLvDb7XgdG81kfs37/fGDZsmFFeXm4YRtu+17StWqmoqEiDBw+WJA0YMEClpaVBXpGzXHPNNbr33ns9j91ut0pLS/X+++9r4sSJmj59uiorK4O4QmcpKyvTwYMHNXnyZGVkZKikpETbtm3TBRdcIElKTU3Vxx9/HORVOsvnn3+uL7/8UuPGjeO7HWCnnnqq5s+f73nc0nf5s88+03nnnaeoqCjFx8fr1FNPVVlZWbCWbFvNa/3kk0/qzDPPlCTV19crOjpaDQ0N+uabb/TII48oPT1dK1asCNZyba15rVv6vcH3OjCa1/qI+fPn64YbbtCJJ57Y5u81gbuVKisrFRcX53nsdrtVV1cXxBU5S6dOnRQXF6fKykrdc889uu+++9S/f389+OCDWrp0qU455RT95S9/CfYyHSMmJkZTpkzRokWLNHPmTP3+97+XYRhyuVySDv/7OHDgQJBX6SzPP/+87rrrLkniux1gV199tSIi/j0p2dJ3ubKyssl/+u3UqRN/6LRB81qfeOKJkqRPP/1Ur7zyim666SZVV1frhhtu0OOPP64XX3xR//Vf/0UIbIPmtW7p9wbf68BoXmtJ2rdvnzZv3qxRo0ZJUpu/1wTuVoqLi1NVVZXncUNDw1H/ctA+P/74ozIyMjR8+HANHTpUaWlpOvvssyVJaWlp2r59e5BX6Bw9e/bUsGHD5HK51LNnTyUkJGjfvn2e16uqqtS5c+cgrtBZfvnlF+3Zs0cXXnihJPHdNlnjaw+OfJeb/w6vqqpipjhA1q5dq0cffVQLFy5U165d1bFjR2VkZKhjx46Ki4vThRdeSOAOgJZ+b/C9Ns/69es1ZMgQud1uSWrz95rA3UopKSkqKCiQJJWUlKhPnz5BXpGz/Pzzz5o8ebIeeOABjR49WpI0ZcoUffbZZ5KkzZs3q1+/fsFcoqOsWLFC+fn5kqTy8nJVVlbqkksu0ZYtWyRJBQUFGjhwYDCX6CiFhYW6+OKLPY/5bpvrrLPOOuq73L9/fxUVFenQoUM6cOCAdu/eze/xAHjrrbf0yiuvaMmSJTrllFMkSV9//bUmTJig+vp61dbW6tNPP+U7HgAt/d7ge22ezZs3KzU11fO4rd9rWrOtlJaWpk2bNik9PV2GYSgvLy/YS3KU5557Tr/88oueffZZPfvss5Kkhx56SHl5eYqMjNQJJ5ygnJycIK/SOUaPHq2srCyNHz9eLpdLeXl56tKli2bMmKEnn3xSvXr10tVXXx3sZTrGV199pR49engeZ2dnKycnh++2Sf7whz8c9V12u92aNGmSJkyYIMMwNG3aNEVHRwd7qbZWX1+vP/3pTzr55JN19913S5IGDRqke+65R0OHDtXYsWMVGRmp4cOHKzk5Ocirtb+Wfm/ExcXxvTbJV1995fkjUpJ69+7dpu+1yzAMw8yFAgAAAOGMkRIAAADARARuAAAAwEQEbgAAAMBEBG4AAADARARuAAAAwEQEbgBAi+bPn6+0tLRgLwMAbI/ADQAAAJiIwA0AAACYiMANAA5QWVmpmTNn6uKLL9Z5552nKVOmaOvWrTr77LO1bt26Jj/7wAMP6K677vJ63J49e1o8x48//qh77rlHKSkpuvjiizVt2jSVl5eb/tkAwO4I3ADgAPfdd582b96suXPnauXKlYqNjdW0adN08cUXa9WqVZ6fq66u1oYNGzRy5Eivx91yyy2qra1t8v7V1dWaNGmSoqOjtWzZMi1atEi1tbW68cYbVVNTY+lnBQC7IXADgM3t2bNHH374oWbOnKmLLrpIvXr10qxZs3TVVVdp2LBh+vDDD/Wvf/1LkvQ///M/io6O1mWXXebzuP379zc5x9tvv62DBw8qPz9fffr00Zlnnqknn3xS5eXlevfdd4PxsQHANiKCvQAAQPt88cUXkqT+/ft7nuvSpYseeugh1dbWKjc3V+vWrdOECRO0atUqDRkyRJGRkT6Pa2779u2qqKjQwIEDmzx/8OBB7d6924yPBQCOQeAGAJuLiPD+qzwyMlJDhgzRmjVrlJaWps2bNyszM/OYx7X0PqeffrqeeeaZo16Lj49v/aIBIIwwUgIANte7d29JUmlpqee5yspKXXTRRfrkk080atQoFRcX6/XXX1fv3r111lln+XVcY8nJyfruu++UkJCgpKQkJSUl6fjjj9fs2bM9nXIAQMsI3ABgcz179tSVV16pmTNn6pNPPtHu3buVlZWl+Ph49e/fX2eddZaSk5P1/PPPa9SoUX4f19jQoUPVpUsX3Xffffr888/1xRdfKDMzU1u3blVycrLVHxkAbIXADQAOkJ+fr3POOUd33nmnxo4dq9raWr344ouKioqSJI0YMUJ1dXUaOnRoq447IiYmRosXL1ZMTIxuvPFGjR8/XnV1dXrppZd0/PHHW/Y5AcCOXIZhGMFeBADAXHPmzNFXX32l5557LthLAYCww0WTAOBgR0ZFli1b1uIFjwAA8xG4AcDBNm7cqFdffVWTJk3SJZdcEuzlAEBYYqQEAAAAMBEXTQIAAAAmInADAAAAJiJwAwAAACYicAMAAAAmInADAAAAJiJwAwAAACb6P8w+Cj7LtJ4WAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(len(listdir)) :\n",
    "\n",
    "    dff = globals()['data_{}'.format(num[i])]\n",
    "    \n",
    "    sns.set_style(\"darkgrid\")\n",
    "    plt.figure(figsize=(12, 8))\n",
    "\n",
    "    plt.scatter(dff['cycle'], dff['SOH'])\n",
    "\n",
    "    plt.ylabel('SoH', fontsize = 15)\n",
    "    plt.xlabel('cycle', fontsize = 15)\n",
    "    plt.title('Discharge_' + num[i], fontsize = 15)\n",
    "    plt.savefig('fig/SoH_' + num[i] + '.jpg')\n",
    "    plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
